The denominator of a rational number is greater than its numerator by 8.8.8. If 888 is subtracted from the numerator and 777 is added to its denominator,,, the new number becomes 124.124.124. What is the original number???
Answer:
917917917
- Let the numerator be x.x.x. According to the question, the denominator will be equal to x+8.x+8.x+8. The fraction will be xx+8.xx+8.xx+8.
- The new numerator is x−8,x−8,x−8, and the new denominator is x+8+7=x+15.x+8+7=x+15.x+8+7=x+15. The new fraction will become:x−8x+15.:x−8x+15.:x−8x+15.
- According to the question, x−8x+15=124.x−8x+15=124.x−8x+15=124. On cross multiplication we get::: [Math Processing Error]
- Hence the original fraction will be equal to 99+8,99+8, or 917917.